Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Gyrya, P."'
We develop an explicit second order staggered finite difference discretization scheme for simulating the transport of highly heterogeneous gas mixtures through pipeline networks. This study is motivated by the proposed blending of hydrogen into natur
Externí odkaz:
http://arxiv.org/abs/2404.04451
Autor:
Corbetta, Alessandro, Gabbana, Alessandro, Gyrya, Vitaliy, Livescu, Daniel, Prins, Joost, Toschi, Federico
Publikováno v:
Eur. Phys. J. E, 46 3 (2023)
In this work we explore the possibility of learning from data collision operators for the Lattice Boltzmann Method using a deep learning approach. We compare a hierarchy of designs of the neural network (NN) collision operator and evaluate the perfor
Externí odkaz:
http://arxiv.org/abs/2212.06124
We develop a weakly intrusive framework to simulate the propagation of uncertainty in solutions of generic hyperbolic partial differential equation systems on graph-connected domains with nodal coupling and boundary conditions. The method is based on
Externí odkaz:
http://arxiv.org/abs/2204.06431
We formulate a steady-state network flow problem for non-ideal gas that relates injection rates and nodal pressures in the network to flows in pipes. For this problem, we present and prove a theorem on uniqueness of generalized solution for a broad c
Externí odkaz:
http://arxiv.org/abs/2204.00071
In this work, we review the framework of the Virtual Element Method (VEM) for a model in magneto-hydrodynamics (MHD), that incorporates a coupling between electromagnetics and fluid flow, and allows us to construct novel discretizations for simulatin
Externí odkaz:
http://arxiv.org/abs/2104.04096
We present a virtual element method (VEM) for the numerical approximation of the electromagnetics subsystem of the resistive magnetohydrodynamics (MHD) model in two spatial dimensions. The major advantages of the virtual element method include great
Externí odkaz:
http://arxiv.org/abs/2004.11467
Akademický článek
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Autor:
Gyrya, Vitaliy, Zlotnik, Anatoly
We present an explicit second order staggered finite difference (FD) discretization scheme for forward simulation of natural gas transport in pipeline networks. By construction, this discretization approach guarantees that the conservation of mass co
Externí odkaz:
http://arxiv.org/abs/1803.00418
We present the non-conforming Virtual Element Method (VEM) for the numerical approximation of velocity and pressure in the steady Stokes problem. The pressure is approximated using discontinuous piecewise polynomials, while each component of the velo
Externí odkaz:
http://arxiv.org/abs/1608.01210
In this paper we consider the lowest edge-based mimetic finite difference (MFD) discretization in space for Maxwell's equations in cold plasma on rectangular meshes. The method uses a generalized form of mass lumping that, on one hand, eliminates a n
Externí odkaz:
http://arxiv.org/abs/1604.01097